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kipiarov [429]
3 years ago
5

10. For a popular Broadway musical, the theater box office sold 356 tickets at $80 apiece, 275 tickets at $60 apiece, and 369 ti

ckets at $45 apiece. How much money did the box office take in? A. $16,605 B. $16,500 C. $44,980 D. $61,585
Mathematics
1 answer:
V125BC [204]3 years ago
6 0
I thank it is B you have to add all the tickets and times that by the the amount of money  
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The Band Booster club sells beverages for $1.47 and candy for $1.61 at home games. Their goal is to have total sales of $229.11
evablogger [386]
Answer: D) 1.47x + 1.61y = 229.11

Explanation: The amount of beverages and candy sold combined (addition) should be set equal to the targeted goal per game ($229.11).
4 0
3 years ago
A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of the water leaks out in the first 5 min
Leya [2.2K]

Answer:

127.53 liters left after 10 minutes

Step-by-step explanation:

Let

A \to Amount

t \to time

Given

A(0) = 200 --- initial

A(5) = 200 * (1 - 20\%) = 160 --- the amount left, after 5 minutes

Required

A(10) --- amount left after 5 minutes

To do this, we make use of:

A(t) = A(0) * e^{kt}

A(5)  = 160 implies that:

160 = 200 * e^{k*5}

Divide both sides by 200

0.80 = e^{k*5}

Take natural logarithm of both sides

\ln(0.80) = \ln(e^{k*5})

\ln(0.80) = \ln(e^{5k})

\ln(0.80) = 5k\ln(e)

So, we have:

-0.223 = 5k

Divide by 5

k = -0.045

So, the function is:

A(t) = A(0) * e^{kt}

A(t) = 200 * e^{-0.045t}

The amount after 10 minutes is:

A(10) = 200 * e^{-0.045*10}

A(10) = 200 * e^{-0.45}

A(10) = 127.53

3 0
3 years ago
What is r+(−5r) simplified?
mestny [16]

Answer:

-4r

Step-by-step explanation:

3 0
4 years ago
A cone with a radius 2 units is shown below. Its volume is 29 cubic units. Find the height of the cone
rusak2 [61]

Answer:

The height of the cone is 6.9\ units

Step-by-step explanation:

we know that

The volume of the cone is equal to

V=\frac{1}{3}Bh

where

B is the area of the circular base of the cone

h is the height of the cone

In this problem we have

V=29\ units^{3}

r=2\ units

<em>Find the area of the base B</em>

B=\pi r^{2}

substitute the value of r

B=\pi (2)^{2}=4 \pi\ units^{2}

<em>Find the height of the cone</em>

29=\frac{1}{3}(4 \pi)h

h=29*3/(4 \pi)

assume \pi=3.14

h=29*3/(4*3.14)=6.9\ units

7 0
3 years ago
If f(2x–1) = x+2, then what is the value of f⁻¹(2x–1)?
Anit [1.1K]

Answer:

So F(x+3) = (x+3+5)/2 = (x+8)/2

Step-by-step explanation:

Given F(2x-1) = x+2

Put 2x-1 = y=> x = (y+1)/2

Hence F(y) = (y+1)/2 +2 = (y+5)/2

So F(x) = (x+5)/2

So F(x+3) = (x+3+5)/2 = (x+8)/2.

7 0
4 years ago
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